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If [tex][tex]$7p - 4 = 8$[/tex][/tex], what is the value of [tex][tex]$p$[/tex][/tex]?

A. [tex]\frac{4}{7}[/tex]
B. [tex]\frac{7}{12}[/tex]
C. [tex]\frac{12}{7}[/tex]
D. [tex]\frac{7}{4}[/tex]

Sagot :

GinnyAnswer
Sure! Let's solve the equation [tex]\( 7p - 4 = 8 \)[/tex].

1. First, we need to isolate the term containing [tex]\( p \)[/tex]. We start by adding 4 to both sides of the equation to remove the constant term on the left-hand side:
[tex]\[ 7p - 4 + 4 = 8 + 4 \][/tex]
Simplifying this, we get:
[tex]\[ 7p = 12 \][/tex]

2. Next, we need to solve for [tex]\( p \)[/tex]. We do this by dividing both sides of the equation by 7:
[tex]\[ \frac{7p}{7} = \frac{12}{7} \][/tex]
Simplifying this, we get:
[tex]\[ p = \frac{12}{7} \][/tex]

So, the value of [tex]\( p \)[/tex] is [tex]\( \frac{12}{7} \)[/tex].

Thus, the correct answer is [tex]\( \boxed{\frac{12}{7}} \)[/tex].
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